477 citations · 6.9k across the 163 of their papers we have counts for
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Kerov functions revisited
A. Mironov, A. Morozov
The Schur functions play a crucial role in the modern description of HOMFLY polynomials for knots and of topological vertices in DIM-based network theories, which could merge into…
The MacMahon R-matrix
H. Awata, H. Kanno, A. Mironov +3
We introduce an -matrix acting on the tensor product of MacMahon representations of Ding-Iohara-Miki (DIM) algebra . This -matri…
From Topological to Quantum Entanglement
D. Melnikov, A. Mironov, S. Mironov +2
Entanglement is a special feature of the quantum world that reflects the existence of subtle, often non-local, correlations between local degrees of freedom. In topological theorie…
From Kronecker to tableau pseudo-characters in tensor models
H. Itoyama, A. Mironov, A. Morozov
We present a brief summary of the recent discovery of direct tensorial analogue of characters. We distinguish three degrees of generalization: (1) -number Kronecker characters m…
Sum rules for characters from character-preservation property of matrix models
A. Mironov, A. Morozov
One of the main features of eigenvalue matrix models is that the averages of characters are again characters, what can be considered as a far-going generalization of the Fourier tr…
Multi-Colored Links From 3-strand Braids Carrying Arbitrary Symmetric Representations
Saswati Dhara, A. Mironov, A. Morozov +4
Obtaining colored HOMFLY-PT polynomials for knots from 3-strand braid carrying arbitrary representation is still tedious. For a class of rank symmetric representations,…